010 = Let R₁ and R₂ be relations on a set A represented by the matrices MR₁ 1 1 1 and MR₂ = 100 ГА В С The matrix representing R₂ o R₁ is DEF GHI Drag the variables on the right column, and drop them in their corresponding values on the left column. 0 D 1 E G B C F A H 1 01 0 01 1 1 1 1

Q: 2 -3 -5 5 2 -2 Let A = အားကြည့်ကြပါ 5 B - 1 -3 -5C - 3 4 Find: -3 -4 -1 3 5 -3

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Q: (e) $₁ = 5 and Sn+1 = √√4s +1 for n ≥ 1.

A: Given s1 = 5 and sn+1 = 4sn+1 for n≥1

Q: 2.f(t) = cosh wt sin wt

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Q: QUESTION 9 Use the Fundamental Theorem of Line Integrals (FTLI) to evaluate ending at (1,3) O a.…

A: Evaluation of the line integral over the curve

Q: H.W solve by Picard method (up to third y (0)=0 Find y (0-1)? aus// 1₂ (0-1) = (0-1)² + (0-1) s +…

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Q: 14. (i) Describe the system of planes (A diagram may be helpful). (ii) Solve the system if possible.…

A: Given the system of equations as 6x-4y+2z=72x+y-4z=3-15x+10y-5z=354 so, we have to solve this system…

Q: Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D 34 49

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Q: Solve the differential equation: d³y_d²y_dy + y = 0 dx3 dx² dx

A: Let us considre the differential equation L[D]=0 To solve the given differential equation  The…

Q: 5. Prove that for all n n [j³ = j=1 n² (n + 1)² 4

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Q: 2. A public school teacher receiving a monthly salary of P26,494 with mandatory annual deductions of…

A: Given: Let us consider a public school teacher earning P26,494 per month is required to pay P34,185…

Q: a) Let V = P3 (R), with an inner product (f.g) = f f(x) g(x) dx. Then for a basis a = {1,x,x², x³),…

A: Given that Let V=P3R, with the inner product  f,g=∫01fxgxdx let α=1,x,x2,x3 be the basis  Then, the…

Q: QUESTION 2 Suppose a relative of yours asks to borrow $50, which they agree to repay with $15 simple…

A: we have P0=$50I=$15 we will use the formula A=P01+rt

Q: Suppose f(2) = If f(z)| ≤ 3|2ln(|z| anz is entire. + 1) for all z, prove that f is a polynomial.

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Q: 4. Let p, q, and r be the statements p: Grizzly bears have been seen in the area. q: Hiking is safe…

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Q: Describe the graph of the equation: r = 7ti - 8j + (1 + 9t)k. [Choose the correct answer.] O The…

A: .

Q: Let be a function that allows continuous second partial derivatives, we know that: Vf(x,y) = (16x³ -…

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Q: 8. Which of the following completes the sequence? quence? 3 ? A B с D

A: Expanation :  From given picture  Each curved arrow moves  clock wise direction  Step -1 :  One…

Q: Calculate LCM(50,14).

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Q: Question 19. A circular area of 1²0 is swept out as a rod of fixed length r = 1 m pivots about a…

A: The rate of change of area with respect to the time can be calculated by differentiating the area…

Q: A demand function for a product is P = 100 – 2.2Q and its supply function is P = 2.8Q, where P is…

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Q: Find a logarithmic equation that relates y and x. (Round all numerical values to one decimal place.)…

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Q: EAT has been selling their very own Platinum Eco-Charger since the beginning of this semester. If…

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Q: Find the general solution to the differential equation using undetermined coefficients. y" + 5y =…

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Q: The water-supply manager for Kansas City needs to supply the city with at least 19 million gallons…

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Q: Show that is integrable on [0, 1]. f(x) = {1. 0, +√√xsin(1/x6), x‡0 X 0

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Q: Write x as the sum of two vectors, one in Span ({u₁,42,43) and one in Span (U4). Assume that…

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Q: The following table shows retail sales in drug stores in billions of dollars in the U.S. for years…

A: Any point on the Cartesian coordinate system can be represented by the ordered pair x, y. The…

Q: . Show that the operators T₁,, T4 from R2 into R2 defined by (1, 2) (1, 0) (§1, §2) (0, §₂) (§1, §2)…

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Q: We are going to fence in a rectangular field. If we look at the field from above the cost of the…

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Q: How Find y(0-3) for y₁=X^²+y², y() = 1 h=0:1 ansy (0-3) = 1.375

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Q: Let R be the region bounded by y=sinz, y = 0 and 2 = with 0≤ ≤. Find the centroid of R.

A: Centroid bounded by the curves

Q: Find the nth term of the following series: 1.) 3 + + + 2.) 1 3 + 3 − 2 + 10! zz +

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Q: Verify the formula F.T ds = [[(curl F). ndS in Stoke's Theorem C by evaluating the line integral and…

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Q: 16. Use the Divergence Theorem to find the outward flux across the boundary of the region D where F…

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Q: Let A = PDP-1 and P and D as shown below. Compute A4. 1 1 - 2 0 P= D= 2 - 2 5 01

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Q: 2. A toy rocket is launched from the ground and the arch can be modelled by the following equation,…

A: Given function of height is  h = 19- 0.4(t-7)^2 Where t is time after launching in second.

Q: e inverse Fourier tra |w| e 2 3 N

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Q: Ex:- f: [2₂2] →IR xzo f(x) = { } 2 Show that fERE 2, 2] and find S²fdx

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Q: Let G(x) = [² w(t) dt. -2 Find a function, w, and a number, a, such that G(x) = 4x−² – 1. w(x) = a "

A: Evaluation of the integral

Q: QUESTION 14 Let F(x,y,z)=x²zi+yj-xz²k Find the divergence of F. O a.-1 O b. 1 Oc_x²-2² Od.x²+z²…

A: F(X,Y,Z)=P(X,Y,Z)i+Q(X,Y,Z)j+R(X,Y,Z)k Then divergence of F , div(F)=∂P∂X+∂Q∂Y+∂R∂Z

Q: 5. Using the expressions of J₁/2(x) and J-1/2(x), express the following in terms of sinx, cos x and…

A: Bessels function. Values

Q: Suppose A and B are both countably infinite sets. Show that the union of A and B is also countably…

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Q: 3. Six faces of a cube are shown below. Write a possible group of 2 faces that are opposite to each…

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Q: Find T(t) and N(t) at the given point. r(t) = (t² − 8)i + tj; t = 8 - T(8)= N(8) = =

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Q: VIII. Suppose that X,Y are uniform on x² + y² 0. Find 1. marginal pdfs fx and fy 2. E(X) 3. fy(y|x)

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Q: 2. Let A = 24 02 (a) Determine the Jordan form J of A and the corresponding transformation matrix M.…

A: Note:- As per our guidelines, we can answer the first two parts as both the parts relates each other…

Q: Find the determinant. 1         2          3 -2       -1        -2 3           1        4

A: Expand about the first row. 123-2-1-2314=1-1-214-2-2-234+3-2-131 The value of the determinant abcd…

Q: ifferen 1) y =

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Q: Omar has decided to finance a $25,000 car at 8% interest compounded monthly for 10 years.  Determine…

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Q: The nutritionist of CMU Hospital serves lunch consisting of two courses, A and B. Assume each unit…

A: The linear function that needs to be optimized(maximize or minimize) is called the objective…